Kitten heels are low (maybe .5-1 inch) heels that are shaped so they are little on the bottom, like regular high heels, but get wider as they approach the bottom of the shoe. Not a good description, but they are basically low heeled dress shoes, with a somewhat different shape. They first were popular in the forties. I love them, because as a short person, I don't look very good in flats with dress clothes, but these heels are low enough to be comfortable.
I am really surprised at the level of animosity toward "fashion." While I wouldn't ride in the clothes described in the article, so what if someone does? I love fashion, clothes, etc. It doesn't mean I don't also like working hard on my bike and getting sweaty and dirty.